Applying IQR to Real-World Problems

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| By Thames
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Thames
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Quizzes Created: 7116 | Total Attempts: 9,522,086
| Questions: 20 | Updated: Oct 31, 2025
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1) What is the IQR for Route A?

Explanation

IQR is the difference between Q3 and Q1.

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About This Quiz
Applying Iqr To Real-world Problems - Quiz

Get ready to tackle IQR in some real-world scenarios! This quiz will test your ability to apply the Interquartile Range (IQR) to a variety of contexts, from rideshare companies to income disparities and streaming watch times. The goal is to understand how the IQR can help you compare the spread... see moreof data and assess consistency, variability, and outliers in different situations. Let’s dive into the analysis and see how well you can interpret IQR data in practical settings! see less

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2) What is the IQR for Route B?

Explanation

IQR is the difference between Q3 and Q1.

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3) Which route shows greater variability in middle 50% of travel times?

Explanation

The route with the larger IQR shows greater variability in travel times.

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4) If a 60-minute trip occurs on Route A, which statement is most justified using the IQR?

Explanation

Since it’s far above Q3, it’s likely an outlier.

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5) For consistent commuter planning, which route is preferable based on IQR alone?

Explanation

Route B has a smaller IQR and is more consistent in travel times.

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6) If both routes have similar medians, what does the difference in IQR suggest?

Explanation

IQR shows variability, and a higher IQR indicates more variability.

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7) Compute IQRs for both sections. Which is correct?

Explanation

These are the correct IQR calculations for Section 1 and Section 2.

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8) Which section has more variability in student performance?

Explanation

Section 2 has a larger IQR and shows more variability.

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9) For identifying potential outliers using 1.5×IQR above Q3, which section sets a higher outlier threshold?

Explanation

Section 2 has both a larger IQR and higher Q3, setting a higher threshold for outliers.

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10) If a score of 98 appears in Section 2, is it necessarily an outlier by the 1.5×IQR rule?

Explanation

Since 98 is below the outlier threshold of Q3 + 1.5×IQR, it is not an outlier.

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11) Which statement best describes reliability of typical scores using IQR?

Explanation

Section 1 has a smaller IQR and is more consistent.

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12) Compute IQRs for City X and City Y.

Explanation

IQR calculations for both City X and City Y are provided.

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13) Which city shows greater income disparity within the middle 50%?

Explanation

City X has a larger IQR, meaning it has more income disparity in the middle 50%.

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14) A policy analyst wants the city with more predictable mid-range incomes. Which city should they select based on IQR?

Explanation

City Y has a smaller IQR, meaning more predictable mid-range incomes.

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15) Using the 1.5×IQR rule for low outliers, which city is more likely to flag extremely low incomes?

Explanation

City X’s larger IQR means it will flag low incomes more easily.

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16) What are the IQRs?

Explanation

IQRs for Casual and Avid groups are provided.

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17) Which group has more variability among typical users?

Explanation

Avid group has more variability, as it has a larger IQR.

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18) If a user in Casual logs 5.0 hours one day, which is most accurate?

Explanation

The value is likely an outlier because it exceeds Q3 + IQR.

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19) The company wants to predict next-day watch time for typical users using the middle 50%. Which group’s prediction would likely have a tighter range?

Explanation

Casual group has a tighter IQR and more predictable mid-range watch times.

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20) If the distributions are right-skewed, why is comparing medians and IQRs more appropriate than means and standard deviations?

Explanation

IQR is more resistant to extreme values, making it a better measure for skewed distributions.

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What is the IQR for Route A?
What is the IQR for Route B?
Which route shows greater variability in middle 50% of travel times?
If a 60-minute trip occurs on Route A, which statement is most...
For consistent commuter planning, which route is preferable based on...
If both routes have similar medians, what does the difference in IQR...
Compute IQRs for both sections. Which is correct?
Which section has more variability in student performance?
For identifying potential outliers using 1.5×IQR above Q3, which...
If a score of 98 appears in Section 2, is it necessarily an outlier by...
Which statement best describes reliability of typical scores using...
Compute IQRs for City X and City Y.
Which city shows greater income disparity within the middle 50%?
A policy analyst wants the city with more predictable mid-range...
Using the 1.5×IQR rule for low outliers, which city is more likely to...
What are the IQRs?
Which group has more variability among typical users?
If a user in Casual logs 5.0 hours one day, which is most accurate?
The company wants to predict next-day watch time for typical users...
If the distributions are right-skewed, why is comparing medians and...
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